In a recentsurvey, businessintelligence/analytics and information managementprofessionals, both staff andmanagers, were asked to indicate what business and technical skills are critical to their job. The list of business and technical skills included"analyzing data." The accompanying table summarizes the responses to this skill. Complete parts1-4

A. What is the probability that a randomly selected employee indicates analyzing data as critical to his or herjob?

Round to three decimal places asneeded.)

b. What is the probability that a randomly selected employee isstaff?

Round to three decimal places asneeded.)

c. What is the probability that a randomly selected employee indicates analyzing data as critical to their job or isstaff?

Round to three decimal places asneeded.)

d. Explain the difference in the results in(b) and(c)?

A. The probability in part(b) is a marginalprobability, while the probability in part(c) is the sum of two marginal probabilities minus a joint probability.

B. The probability in part(b) is a jointprobability, while the probability in part(c) is a simple probability.

C. The two events in part(c) are mutuallyexclusive, but part(b) has only one event.

D.

Professional Position D Analyzing Data Staff Management Total Critical 659 427 1086 Not Critical 881 1113 1994 Total 1 540 1 540 3080